rm(list=ls())

Libraries

library(tidyverse)
library(neuralnet)
library(caret)
library(NeuralNetTools)
library(janitor)
library(kableExtra)

Reading, cleaning and preparing the data

df <- read.csv("wine_data2.csv")

Unselecting columns

df <- df %>%
  select(-c("X","Unnamed._0")) %>%
  janitor::clean_names() %>%
  mutate_if(is.character,as.factor)

Scaling numerical data

df[,c(1:12)] <- sapply(df[,c(1:12)], function(x) scale(x))
levels(df$type)
## [1] "red"   "white"

Adding boolean columns for each wine type

df$red <- df$type == "red"
df$white <- df$type == "white"
df %>%
  kable(align = "c") %>%
  kable_styling(position="center") %>%
  scroll_box(height='500px',width="100%")
fixed_acidity volatile_acidity citric_acid residual_sugar chlorides free_sulfur_dioxide total_sulfur_dioxide density p_h sulphates alcohol quality type red white
0.1424623 2.1886645 -2.1926638 -0.7447208 0.5699140 -1.1000552 -1.4462472 1.0349132 1.8129500 0.1930819 -0.9153937 -0.9371575 red TRUE FALSE
0.4510010 3.2819823 -2.1926638 -0.5975941 1.1978825 -0.3112961 -0.8624022 0.7014323 -0.1150642 0.9995017 -0.5800235 -0.9371575 red TRUE FALSE
0.4510010 2.5531038 -1.9174051 -0.6606484 1.0266184 -0.8746955 -1.0924018 0.7681285 0.2580999 0.7978967 -0.5800235 -0.9371575 red TRUE FALSE
3.0735801 -0.3624106 1.6609574 -0.7447208 0.5413699 -0.7620156 -0.9862481 1.1016093 -0.3638402 0.3274852 -0.5800235 0.2079830 red TRUE FALSE
0.1424623 2.1886645 -2.1926638 -0.7447208 0.5699140 -1.1000552 -1.4462472 1.0349132 1.8129500 0.1930819 -0.9153937 -0.9371575 red TRUE FALSE
0.1424623 1.9457049 -2.1926638 -0.7657389 0.5413699 -0.9873753 -1.3400936 1.0349132 1.8129500 0.1930819 -0.9153937 -0.9371575 red TRUE FALSE
0.5281357 1.5812656 -1.7797758 -0.8077751 0.3701058 -0.8746955 -1.0039404 0.5680400 0.5068759 -0.4789346 -0.9153937 -0.9371575 red TRUE FALSE
0.0653276 1.8849651 -2.1926638 -0.8918475 0.2559297 -0.8746955 -1.6762467 -0.0322255 1.0666219 -0.4117329 -0.4123384 1.3531236 red TRUE FALSE
0.4510010 1.4597859 -2.0550344 -0.7237027 0.4842819 -1.2127351 -1.7293236 0.7014323 0.8800399 0.2602836 -0.8315512 1.3531236 red TRUE FALSE
0.2195970 0.9738668 0.2846641 0.1380395 0.4271938 -0.7620156 -0.2431727 1.0349132 0.8178459 1.8059215 0.0068744 -0.9371575 red TRUE FALSE
-0.3974804 1.4597859 -1.6421464 -0.7657389 1.1693385 -0.8746955 -0.8977868 0.4012996 0.3824879 0.0586786 -1.0830788 -0.9371575 red TRUE FALSE
0.2195970 0.9738668 0.2846641 0.1380395 0.4271938 -0.7620156 -0.2431727 1.0349132 0.8178459 1.8059215 0.0068744 -0.9371575 red TRUE FALSE
-1.2459619 1.6723755 -2.1926638 -0.8077751 0.9409863 -0.8183555 -1.0039404 -0.1322698 2.2483080 -0.0757247 -0.4961809 -0.9371575 red TRUE FALSE
0.4510010 1.6420055 -0.1970385 -0.8077751 1.6545869 -1.2127351 -1.5347086 0.9015208 0.2580999 6.9132468 -1.1669214 -0.9371575 red TRUE FALSE
1.2994825 1.7027454 -0.9539998 -0.3453769 3.4243165 1.2098821 0.5175949 1.3016978 -0.3638402 2.3435347 -1.0830788 -0.9371575 red TRUE FALSE
1.2994825 1.7027454 -0.8851851 -0.3243588 3.2530523 1.1535421 0.5706717 1.3016978 -0.3016462 2.6795429 -1.0830788 -0.9371575 red TRUE FALSE
0.9909438 -0.3624106 1.6609574 -0.7657389 1.0266184 0.2521032 -0.2254805 0.7347804 0.5068759 1.4699132 0.0068744 1.3531236 red TRUE FALSE
0.6824050 1.3383061 -0.2658532 -0.7867570 8.9047693 -0.8183555 -1.0570172 0.7014323 -0.6748102 5.0316006 -0.9992363 -0.9371575 red TRUE FALSE
0.1424623 1.5205258 -1.6421464 -0.2192683 0.8553542 -1.3817549 -1.5347086 0.9015208 1.0044279 -0.2101280 -1.2507639 -2.0822980 red TRUE FALSE
0.5281357 -0.1194510 1.3168841 -0.7657389 8.1340806 -0.7620156 -1.0570172 0.7347804 -1.1101682 3.6875676 -1.0830788 0.2079830 red TRUE FALSE
1.2994825 -0.7268499 1.1104401 -0.7657389 0.5984580 -0.0859364 -0.9862481 0.7014323 1.0666219 -0.0085230 -0.9153937 0.2079830 red TRUE FALSE
0.2967317 0.3057281 -0.0594092 -0.6606484 0.7411781 -0.4239760 -0.7916332 1.1683055 1.8751440 0.7978967 -0.6638660 -0.9371575 red TRUE FALSE
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0.9909438 0.9131269 -1.4357025 -0.6606484 0.7982662 -1.2127351 -0.8624022 0.7014323 -0.3016462 -0.0085230 -0.9153937 -0.9371575 red TRUE FALSE
-0.2432111 0.3664680 -1.2292585 -0.6396303 0.8268102 -0.5366559 -1.3400936 0.7014323 1.3153979 0.6634934 -0.6638660 0.2079830 red TRUE FALSE
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-0.0889417 2.2494043 -2.1926638 -0.7447208 0.6840901 -0.9310354 -1.4285549 0.8348247 1.5641740 0.1258803 -0.9153937 -0.9371575 red TRUE FALSE
0.4510010 1.8545951 -2.1926638 -0.7237027 0.7411781 -1.2690750 -1.7647081 0.5680400 1.0044279 0.3946869 -0.5800235 0.2079830 red TRUE FALSE
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-1.7859046 0.7916472 -1.0228145 -0.7447208 -0.6003911 1.6606015 0.5706717 -1.6862905 0.3202939 -1.2181527 0.8452999 0.2079830 white FALSE TRUE
-0.5517498 -0.0587112 0.4222935 0.6004377 -0.2293188 2.1113210 1.0306708 0.0744883 -0.4882282 -0.2101280 -0.7477086 -0.9371575 white FALSE TRUE
-0.4746151 0.0020287 0.5599228 0.5584015 -0.2864068 2.1113210 0.9599017 0.0811580 -0.4260342 -0.2101280 -0.7896299 0.2079830 white FALSE TRUE
-0.7831538 -0.7875898 -0.2658532 0.0539671 -0.8001993 0.8155025 0.0929804 -1.0059896 -0.0528702 3.6875676 1.3902765 1.3531236 white FALSE TRUE
-0.7831538 0.4272079 -0.6787412 -0.7447208 -0.9429194 -1.4380948 -1.0570172 -1.8063436 -1.1101682 1.7387198 2.1029383 1.3531236 white FALSE TRUE
-0.3203458 -0.7268499 0.2846641 -0.8918475 -0.1151427 0.4211230 0.1991340 -0.4657506 -1.1101682 0.0586786 -1.0830788 -0.9371575 white FALSE TRUE
-1.7859046 -0.6357400 -0.3346678 1.3255622 -0.7431112 0.1957633 0.0399036 0.2345591 -0.9235862 -0.2101280 -0.9153937 0.2079830 white FALSE TRUE
-0.8602885 0.0020287 -0.1970385 -0.6816665 -0.5718471 -0.3112961 -0.2785573 -1.7729955 -0.9857802 -0.6133379 1.0968276 0.2079830 white FALSE TRUE
-1.1688272 -0.7875898 0.0094055 -0.9549018 -0.5147590 0.4211230 0.0929804 -1.3194616 0.1337118 -0.4789346 0.0907169 0.2079830 white FALSE TRUE
-0.5517498 -0.6661100 0.4222935 -0.8708294 -0.6860232 -0.0859364 -0.0662500 -0.5724645 0.4446819 0.0586786 -0.6638660 -0.9371575 white FALSE TRUE
-0.7831538 -0.7875898 -0.1970385 -0.8077751 -0.4862150 -0.3676361 -0.4200955 -1.1860692 0.3202939 -0.2101280 0.5937723 0.2079830 white FALSE TRUE
-0.4746151 -0.1194510 0.2846641 0.5373834 -0.2578628 1.4915817 0.9245172 0.0678187 -0.4260342 -0.4789346 -0.7477086 -0.9371575 white FALSE TRUE
-0.5517498 -0.6053701 -0.8851851 -0.8918475 -0.4291269 -0.0295965 -0.0839423 -0.7191961 -1.4211383 -0.4789346 -0.9153937 0.2079830 white FALSE TRUE
-1.3230966 -0.3016707 -0.1282238 -0.9128656 -0.9714634 -0.5929958 -0.1016346 -2.0030973 0.7556519 -1.0165478 1.9352531 1.3531236 white FALSE TRUE
-0.9374232 -0.7875898 0.4222935 -0.9759199 -1.0285515 -0.4803159 -0.3139418 -1.7629911 0.2580999 -1.4197577 1.0968276 0.2079830 white FALSE TRUE

Modeling

Data partition

data_partition <- caret::createDataPartition(df$type,p=0.65,list=F)

train_set <- df[data_partition,]
test_set <- df[-data_partition,]

print(nrow(train_set))
## [1] 4224
print(nrow(test_set))
## [1] 2273

Sigmoid activation function formula

sigmoid <- function(x) {1/(1+exp(-x))}

Neural network formula

nn <- neuralnet(red+white ~. -type,
                hidden = c(3,2,3),
                train_set,
                linear.output = FALSE,
                act.fct = sigmoid,
                learningrate=0.01)

Neural network plot

plot(nn,rep="best",x.entry = 0.25,radius = 0.15,arrow.length = 0.2)

Prediction

pred <- predict(nn, test_set)
table(test_set$type, apply(pred, 1, which.max))
##        
##            1    2
##   red    552    7
##   white    6 1708
nn_pred <- apply(compute(nn,test_set[1:12])$net.result,1,which.max)
head(as.factor(nn_pred))
##  7  8  9 15 21 23 
##  1  1  1  1  1  1 
## Levels: 1 2
levels(test_set$type)
## [1] "red"   "white"
idx <- c("red","white")[nn_pred]

Confusion matrix for the prediction

caret::confusionMatrix(data=as.factor(idx),reference = test_set$type)
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction  red white
##      red    552     6
##      white    7  1708
##                                          
##                Accuracy : 0.9943         
##                  95% CI : (0.9902, 0.997)
##     No Information Rate : 0.7541         
##     P-Value [Acc > NIR] : <2e-16         
##                                          
##                   Kappa : 0.9846         
##                                          
##  Mcnemar's Test P-Value : 1              
##                                          
##             Sensitivity : 0.9875         
##             Specificity : 0.9965         
##          Pos Pred Value : 0.9892         
##          Neg Pred Value : 0.9959         
##              Prevalence : 0.2459         
##          Detection Rate : 0.2429         
##    Detection Prevalence : 0.2455         
##       Balanced Accuracy : 0.9920         
##                                          
##        'Positive' Class : red            
##